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Math·Advanced Math·Nonlinear functions

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James purchased a certain baseball card on January 1. The function $f(x)=75(1.04{)}^x$, where $0\le x\le 10$, gives the predicted value, in dollars, of the baseball card $x$ years after James purchased it. What is the best interpretation of the statement “$f(6)$ is approximately equal to $95$“ in this context?

A

6 years after James purchased the baseball card, its predicted value is approximately 95 dollars.

B

When the baseball card’s predicted value is approximately 95 dollars, it is 6% greater than the predicted value, in dollars, on January 1 of the previous year.

C

When the baseball card’s predicted value is approximately 95 dollars, it is 6 times the predicted value, in dollars, on January 1 of the previous year.

D

From the day James purchased the baseball card to 6 years after James purchased the card, its predicted value increased by a total of approximately 95 dollars.